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quasi-periodic boundary conditions

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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On the spectrum of non-self-adjoint Dirac operators with quasi-periodic boundary conditions
Part of
- General theory in ordinary differential equations
- Ordinary differential operators
Alexander Makin
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 153 / Issue 4 / August 2023

Published online by Cambridge University Press:

26 May 2022, pp. 1099-1117

Print publication:

August 2023
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In this paper, we consider non-self-adjoint Dirac operators on a finite interval with complex-valued potentials and quasi-periodic boundary conditions. Necessary and sufficient conditions for a set of complex numbers to be the spectrum of the indicated problem are established.